Synchronization and Maximum Lyapunov Exponents of Cellular Automata

  title={Synchronization and Maximum Lyapunov Exponents of Cellular Automata},
  author={Franco Bagnoli and Ra{\'u}l Rechtman},
We study the synchronization of totalistic one dimensional cellular automata (CA). The CA with a non zero synchronization threshold exhibit complex non periodic space time patterns and conversely. This synchronization transition is related to directed percolation. We study also the maximum Lyapunov exponent for CA, defined in analogy with continuous dynamical systems as the exponential rate of expansion of the linear map induced by the evolution rule of CA, constructed with the aid of the… CONTINUE READING


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F. Bagnoli, P. Palmerini, R. Rechtman
Rev. E 55, 3970 • 1997

B 42

H. K. Janssen, Z. Phys
151 (1981); P. Grassberger, Z. Phys. B 47, 365 (1982); P. Grassberger, J. Stat. Phys. 79, 13 • 1995
View 1 Excerpt

Chaos and Synchronization in Cellular Automata

F. Bagnoli, R. Rechtman
Forecasting and Modelling for Chaotic and Stochastic Systems, A. Bellacicco, G. Koch, A. Vulpiani, editors, Collana Scientifica • 1995
View 2 Excerpts

Lyapunov Exponents for Cellular Automata, in Lectures on Thermodynamics and Statistical Mechanics

F.Bagnoli, R. Rechtman, S. Ruffo
Proc. XXII Winter Meeting on Statistical Physics, • 1994
View 1 Excerpt

Maximal Lyapunov Exponent for 1D Cellular Automata, in Cellular Automata and Cooperative Systems

F.Bagnoli, R. Rechtman, S. Ruffo
Proceedings of the NATO Advanced Study Institute on Cellular Automata and Cooperative Systems, Les Houches, • 1993
View 1 Excerpt


F. Bagnoli
J. Mod. Phys. C 3, 307 • 1992
View 1 Excerpt


F. Bagnoli, R. Rechtman, S. Ruffo
Comp. Phys., 101, 176 • 1992
View 1 Excerpt


H. Fujisaka
Theor. Phys, 70,1264 (1983); A.S. Pikowski and P. Grassberger, J. Phys. A: Math. Gen. 24, 4587 • 1991
View 1 Excerpt


S. Wolfram
Mod. Phys. 55, 601 (1983);Theory and Applications of cellular Automata, S. Wolfram, editor (World Scientific, Singapore 1986); Cellular Automata: Theory and Experiment, H Gutowitz, editor, • 1990
View 1 Excerpt

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